1. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Principle of active balancing device. (a) Before balancing and (b) after balancing. Figure Legend:

2. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Schematic diagram of active balancing system: Label 1 grinding wheel; Label 2 connecting flange; Label 3 drive shaft; Label 4 acceleration sensor; Label 5 displacement sensor; Label 6 speed sensor; Label 7 control unit; Label 8 air source; Label 9 air filter; Label 10 pressure reducing valve; Label 11 electromagnetic valve block; Label 12 air distributor; and Label 13 balancing disk Figure Legend:

3. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Schematic of balancing disk. (a) Balancing chambers and (b) connecting tubes in cover plate. Figure Legend:

4. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Schematic of air distributor. (a) Graphic model and (b) construction drawing. Figure Legend:

5. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Schematic of chambers and connecting tube R 1 ′ inner radius of liquid ring; R 2 outer radius of liquid ring; p 0 gas pressure of chamber A; u velocity of flow in connecting tube; and r 1, r 2, r 3 radius of two ends and center for the connecting tube. Figure Legend:

6. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Results of gas pressure analysis. (a) Minimum of gas pressure at 6000 rpm and (b) gas pressure at the center of connecting tube. Figure Legend:

7. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Schematic of liquid ring Figure Legend:

8. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Experimental setup for balancing work. (a) Experimental setup for the whole balancing system and (b) experimental setup for the balancing actuator. Figure Legend:

9. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Block diagram of active balancing system Figure Legend:

10. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Balancing results at 3000 rpm and 5000 rpm Figure Legend:

11. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Repeatability results of balancing device Figure Legend:

12. Date of download: 7/5/2016 Copyright © ASME. All rights reserved. From: New Liquid Transfer Active Balancing System Using Compressed Air for Grinding Machine J. Vib. Acoust. 2015;137(1):011014-011014-8. doi:10.1115/1.4028507 Balancing results at 5500 rpm Figure Legend: